[Turkmath:1609] İstanbul Üniversitesi Matematik Bölümü Genel Semineri, 9 Kasım 2016, 15:00

[ŞÜKRÜ YALÇINKAYA]

Merhabalar

İstanbul Üniversitesi Matematik Bölümü genel seminerinde Mimar Sinan
Üniversitesi'nden Ayhan Günaydın "Topological Study of Pairs of
Algebraically Closed Fields" başlıklı bir konuşma verecektir. Konuşma
Türkçe olacaktır ve detayları aşağıdaki gibidir. İlgilenen herkesi bekleriz.


Dear All,
Ayhan Günaydın from Mimar Sinan University is going to give a talk entitled
"Topological Study of Pairs of Algebraically Closed Fields" at the Istanbul
University Department of Mathematics Colloquium. The talk will be in
Turkish and its details are given below. All interested are welcome.

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*Konuşmacı/Speaker*: Ayhan Günaydın

*Başlık/Title*: Topological Study of Pairs of Algebraically Closed Fields


*Özet/Abstract: *The classical theorem of Chevalley states that projections
of Zariski closed sets are Zariski constructible (finite union of locally
closed sets). This result follows from simple model theoretic arguments; it
is so called “quantifier elimination”. Number of quantifiers in a defining
formula measures how complicated a set is. Quantifier elimination (for
algebraically closed fields) can be interpreted to state that “anything
algebraic is as simple as it gets”. In many model theoretic settings, there
is an interplay between quantifier elimination and existence of a “tame”
topology.

In this talk, we describe a Noetherian topology extending the Zariski
topology which sheds some new light on the study of pairs of algebraically
closed fields.

Basic model theoretic requirements and the meaning of “pairs of
algebraically closed fields” will be explained in the first half of the
talk.

*Yer/Place*: Matematik Bölümü Seminer Salonu

*Tarih-Zaman/Date-Time: *9 Kasım 2016, 15:00

İyi çalışmalar
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